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Finding the Fourth Proportional to 397.97, 596.97 and 109.41

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Solution

The fourth proportional to 397.97, 596.97 and 109.41 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 596.97 = 109.41 : x
  2. Step 2: Convert to fraction form
    397.97/596.97 = 109.41/x
  3. Step 3: Cross multiply
    397.97x = 596.97 × 109.41
  4. Step 4: Simplify right side
    397.97x = 65,314.49
  5. Step 5: Solve for x
    x = 65,314.49/397.97
  6. Step 6: Final answer
    x = 164.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.